45645798240 has 384 divisors, whose sum is σ = 182943774720. Its totient is φ = 10412734464.

The previous prime is 45645798217. The next prime is 45645798241. The reversal of 45645798240 is 4289754654.

45645798240 is a `hidden beast` number, since 4 + 5 + 64 + 579 + 8 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45645798241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19564114 + ... + 19566446.

It is an arithmetic number, because the mean of its divisors is an integer number (476416080).

Almost surely, 2^45645798240 is an apocalyptic number.

45645798240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45645798240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91471887360).

45645798240 is an abundant number, since it is smaller than the sum of its proper divisors (137297976480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45645798240 is a wasteful number, since it uses less digits than its factorization.

45645798240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 45645798240 in words is "forty-five billion, six hundred forty-five million, seven hundred ninety-eight thousand, two hundred forty".